Theorem dividi

Description: A number divided by itself is one. (Contributed by NM, 9-Feb-1995)

	Ref	Expression
Hypotheses	divclz.1	$$⊢A\in ℂ$$
	reccl.2	$$⊢A\ne 0$$
Assertion	dividi	$$⊢\frac{A}{A}=1$$

Proof

Step	Hyp	Ref	Expression
1		divclz.1	$$⊢A\in ℂ$$
2		reccl.2	$$⊢A\ne 0$$
3		divid	$$⊢\left(A\in ℂ\wedge A\ne 0\right)\to \frac{A}{A}=1$$
4	1 2 3	mp2an	$$⊢\frac{A}{A}=1$$